Vasiliev, Vyacheslav - In: Annals of the Institute of Statistical Mathematics 66 (2014) 1, pp. 141-163
This paper presents a truncated estimation method of ratio type functionals by dependent sample of finite size. This method makes it possible to obtain estimators with guaranteed accuracy in the sense of the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$L_m$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <msub> <mrow> <mi>L</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> </math> </EquationSource> </InlineEquation>-norm, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$m\ge 2$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>m</mi> <mo>≥</mo> <mn>2</mn> </mrow> </math> </EquationSource> </InlineEquation>. As an illustration, the...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>